@Article{bers76,
  author =       {Abraham Bers and John L. Kulp and
                  Charles F. F. Karney},
  title =        {Symbolic Computation of Nonlinear Wave Interactions on
                  {MACSYMA}},
  journal =      {Comput. Phys. Comm.},
  year =         1976,
  volume =       12,
  number =       1,
  pages =        {81-98},
  month =        {Sept./Oct.},
  reprint =      {cpc76},
  preprint =     {M.I.T. Rept. \eref{PRR-76-17}{RLE PPR 76/17}
                  (Aug. 1976) 26 pp.},
  note =         {Reprinted in {\em Computing in Plasma Physics and
                  Astrophysics}, edited by D. Biskamp (North-Holland
                  Publishing Co., Amsterdam, 1976), Proc. Second
                  European Conf. on Computational Physics,
                  Max-Planck-Institut f{\"u}r Plasmaphysik, Garching,
                  Germany, Apr. 27--30, 1976},
  doi =          {10.1016/0010-4655(76)90012-6},
  abstract =     {In this paper we describe the use of a large symbolic
                  computation system—MACSYMA—in determining
                  approximate analytic expressions for the nonlinear
                  coupling of waves in an anisotropic plasma.  MACSYMA
                  was used to implement the solutions of a fluid plasma
                  model nonlinear partial differential equations by
                  perturbation expansions and subsequent iterative
                  analytic computations.  By interacting with the
                  details of the symbolic computation, the physical
                  processes responsible for particular nonlinear wave
                  interactions could be uncovered and appropriate
                  approximations introduced so as to simplify the final
                  analytic result.  Details of the MACSYMA system and
                  its use are discussed and illustrated.}
}